All Stories

  1. A Comparative B-Spline Collocation Framework for the Caputo Time-Fractional Mobile–Immobile Transport Equation

    Article • Fractal and Fractional, October 2026, MDPI AG

    Dr Muhammad Yaseen

  2. A Galerkin Finite Element Method with Cubic β-Spline Basis for Multi-Term Time-Fractional Differential Equations

    Article • Fractal and Fractional, August 2026, MDPI AG

    Dr Muhammad Yaseen

  3. A numerical study of a time-fractional mobile–immobile advection–dispersion equation using B-spline methods

    Article • AIP Advances, July 2026, American Institute of Physics

    Dr Muhammad Yaseen

  4. A NUMERICAL SCHEME UTILIZING TRIGONOMETRIC CUBIC B-SPLINES FOR QUASILINEAR FRACTIONAL MOBILE/IMMOBILE TRANSPORT MODEL IN THE CAPUTO–FABRIZIO SENSE

    Article • Fractals, May 2026, World Scientific Pub Co Pte Lt

    Dr Muhammad Yaseen

  5. An Extended Cubic B-Spline Galerkin Finite Element Method for Multi-Term Time-Fractional Differential Equations

    Article • Axioms, April 2026, MDPI AG

    Dr Muhammad Yaseen

  6. A Method of Lines Scheme with Third-Order Finite Differences for Burgers–Huxley Equation

    Article • Axioms, February 2026, MDPI AG

    Dr Muhammad Yaseen

  7. Solving time fractional diffusion-wave equation using hyperbolic polynomial B-splines: A uniform grid approach

    Article • Ain Shams Engineering Journal, January 2026, Elsevier

    Dr Muhammad Yaseen

  8. Computational Analysis of the Generalized Nonlinear Time-Fractional Klein–Gordon Equation Using Uniform Hyperbolic Polynomial B-Spline Methods

    Article • Fractal and Fractional, December 2025, MDPI AG

    Dr Muhammad Yaseen

  9. Advanced numerical treatment of modified Burger’s equations using method of lines and cubic B-splines

    Article • Results in Control and Optimization, June 2025, Elsevier

    Dr Muhammad Yaseen

  10. A uniform hyperbolic polynomial B-spline approach for solving the fractional diffusion-wave equations in the Caputo-Fabrizio sense

    Article • AIMS Mathematics, January 2025, Tsinghua University Press

    Dr Muhammad Yaseen

  11. Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations

    Article • Fractal and Fractional, May 2024, MDPI AG

    Dr Muhammad Yaseen

  12. Utilizing Cubic B-Spline Collocation Technique for Solving Linear and Nonlinear Fractional Integro-Differential Equations of Volterra and Fredholm Types

    Article • Fractal and Fractional, April 2024, MDPI AG

    Dr Muhammad Yaseen

  13. Utilizing a third order difference scheme in numerical method of lines for solving the heat equation

    Article • Physica Scripta, March 2024, Institute of Physics Publishing

    Dr Muhammad Yaseen

  14. Addressing Volterra Partial Integro-Differential Equations through an Innovative Extended Cubic B-Spline Collocation Technique

    Article • Symmetry, October 2023, MDPI AG

    Dr Muhammad Yaseen

  15. An Innovative Numerical Method Utilizing Novel Cubic B-Spline Approximations to Solve Burgers’ Equation

    Article • Mathematics, September 2023, MDPI AG

    Dr Muhammad Yaseen

  16. A THEORETICAL ANALYSIS ON THE FRACTIONAL FUZZY CONTROLLED EVOLUTION EQUATION

    Article • Fractals, January 2023, World Scientific Pub Co Pte Lt

    Dr Muhammad Yaseen, Dr. Naeem Saleem

  17. An efficient collocation method based on Hermite formula and cubic B-splines for numerical solution of the Burgers’ equation

    Article • Mathematics and Computers in Simulation, July 2022, Elsevier

    Dr Muhammad Yaseen

  18. Editorial for Special Issue “New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus”

    Article • Fractal and Fractional, May 2022, MDPI AG

    Dr Muhammad Yaseen

  19. Collocation Approach Based on an Extended Cubic B -Spline for a Second-Order Volterra Partial Integrodifferential Equation

    Article • Journal of Function Spaces, April 2022, Hindawi Publishing Corporation

    Dr Muhammad Yaseen

  20. Comparative Numerical Study of Spline-Based Numerical Techniques for Time Fractional Cattaneo Equation in the Sense of Caputo–Fabrizio

    Article • Fractal and Fractional, January 2022, MDPI AG

    Dr Muhammad Yaseen

  21. Existence Results for the Solution of the Hybrid Caputo–Hadamard Fractional Differential Problems Using Dhage’s Approach

    Article • Fractal and Fractional, December 2021, MDPI AG

    Dr Muhammad Yaseen

  22. A collocation method based on cubic trigonometric B-splines for the numerical simulation of the time-fractional diffusion equation

    Article • Advances in Difference Equations, April 2021, Springer Science + Business Media

    Dr Muhammad Yaseen

  23. Computational study of the convection-diffusion equation using new cubic B-spline approximations

    Article • AIMS Mathematics, January 2021, American Institute of Mathematical Sciences (AIMS)

    Dr Muhammad Yaseen

  24. Novel Cubic Trigonometric B-Spline Approach Based on the Hermite Formula for Solving the Convection-Diffusion Equation

    Article • Mathematical Problems in Engineering, October 2020, Hindawi Publishing Corporation

    Dr Muhammad Yaseen

  25. Numerical simulation of the coupled viscous Burgers equation using the Hermite formula and cubic B-spline basis functions

    Article • Physica Scripta, October 2020, Institute of Physics Publishing

    Dr Muhammad Yaseen

  26. An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation

    Article • Applied Mathematics-A Journal of Chinese Universities, September 2020, Springer Science + Business Media

    Dr Muhammad Yaseen

  27. Numerical simulation of the nonlinear generalized time‐fractional Klein–Gordon equation using cubic trigonometric B‐spline functions

    Article • Mathematical Methods in the Applied Sciences, August 2020, Wiley

    Dr Muhammad Yaseen

  28. An efficient computational technique based on cubic trigonometric B-splines for time fractional Burgers' equation

    Article • International Journal of Computer Mathematics, April 2019, Taylor & Francis

    Dr Muhammad Yaseen

  29. Numerical Solution of second order hyperbolic telegraph equation via new Cubic Trigonometric B-Splines Approach

    Article • Cogent Mathematics, September 2017, Taylor & Francis

    Dr Muhammad Yaseen